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Simplifying 5 + -3(4 + -2p) = 4(p + -3) + -3 5 + (4 * -3 + -2p * -3) = 4(p + -3) + -3 5 + (-12 + 6p) = 4(p + -3) + -3 Combine like terms: 5 + -12 = -7 -7 + 6p = 4(p + -3) + -3 Reorder the terms: -7 + 6p = 4(-3 + p) + -3 -7 + 6p = (-3 * 4 + p * 4) + -3 -7 + 6p = (-12 + 4p) + -3 Reorder the terms: -7 + 6p = -12 + -3 + 4p Combine like terms: -12 + -3 = -15 -7 + 6p = -15 + 4p Solving -7 + 6p = -15 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -7 + 6p + -4p = -15 + 4p + -4p Combine like terms: 6p + -4p = 2p -7 + 2p = -15 + 4p + -4p Combine like terms: 4p + -4p = 0 -7 + 2p = -15 + 0 -7 + 2p = -15 Add '7' to each side of the equation. -7 + 7 + 2p = -15 + 7 Combine like terms: -7 + 7 = 0 0 + 2p = -15 + 7 2p = -15 + 7 Combine like terms: -15 + 7 = -8 2p = -8 Divide each side by '2'. p = -4 Simplifying p = -4
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